Limits
Building on the basic idea that a limit is the value a function approaches, AP Calculus also looks at one-sided limits and limits at infinity. For f(x) = |x| / x, the limit from the left as x approaches 0 is -1 (since x is negative there), while the limit from the right is 1, so the two-sided limit does not exist even though f is defined everywhere except at 0 itself. A limit at infinity describes end behavior instead: as x approaches infinity, 1/x approaches 0, since dividing 1 by an ever-larger number gives an ever-smaller result.
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